Concerning the existence of Einstein and Ricci soliton metrics on solvable Lie groups

DOI10.2140/gt.2011.15.735zbMath1217.22005arXiv1009.3283OpenAlexW3100174916WikidataQ115231047 ScholiaQ115231047MaRDI QIDQ538530

Michael Jablonski

Publication date: 25 May 2011

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3283

zbMATH Keywords

Lie groupEinstein metricRicci solitonnilpotentsolvableleft-invariant metricsolvsoliton

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Nilpotent and solvable Lie groups (22E25)

Related Items

Three-dimensional solvsolitons and the minimality of the corresponding submanifolds ⋮ Milnor-type theorems for left-invariant Riemannian metrics on Lie groups ⋮ Immortal homogeneous Ricci flows ⋮ On algebraic solitons for geometric evolution equations on three-dimensional Lie groups ⋮ Unnamed Item ⋮ Wick-rotations of pseudo-Riemannian Lie groups ⋮ Homogeneous Ricci solitons are algebraic ⋮ New examples of non-symmetric Einstein solvmanifolds of negative Ricci curvature ⋮ Maximal symmetry and unimodular solvmanifolds ⋮ Strongly solvable spaces ⋮ The Ricci flow on solvmanifolds of real type

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